a^2-23a=50

Solution for a^2-23a=50 equation:

Simplifying
a2 + -23a = 50

Reorder the terms:
-23a + a2 = 50

Solving
-23a + a2 = 50

Solving for variable 'a'.

Reorder the terms:
-50 + -23a + a2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + -23a + a2 = 0

Factor a trinomial.
(-2 + -1a)(25 + -1a) = 0

Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve:

Simplifying
-2 + -1a = 0

Solving
-2 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a = 0 + 2
-1a = 0 + 2

Combine like terms: 0 + 2 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2
Subproblem 2
Set the factor '(25 + -1a)' equal to zero and attempt to solve:

Simplifying
25 + -1a = 0

Solving
25 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + -1a = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1a = 0 + -25
-1a = 0 + -25

Combine like terms: 0 + -25 = -25
-1a = -25

Divide each side by '-1'.
a = 25

Simplifying
a = 25
Solution
a = {-2, 25}